Search a number
-
+
2226867072 = 27317333521
BaseRepresentation
bin1000010010111011…
…0100101110000000
312202012020120100020
42010232310232000
514030034221242
61004545253440
7106120025553
oct20456645600
95665216306
102226867072
11a43010211
12521934280
1329647a631
14171a7269a
15d07776ec
hex84bb4b80

2226867072 has 64 divisors (see below), whose sum is σ = 5949484560. Its totient is φ = 737976320.

The previous prime is 2226867059. The next prime is 2226867091. The reversal of 2226867072 is 2707686222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49672 + ... + 83192.

Almost surely, 22226867072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974742280).

2226867072 is an abundant number, since it is smaller than the sum of its proper divisors (3722617488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226867072 is a wasteful number, since it uses less digits than its factorization.

2226867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33711 (or 33699 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2226867072 is about 47189.6924338356. The cubic root of 2226867072 is about 1305.8644462652.

The spelling of 2226867072 in words is "two billion, two hundred twenty-six million, eight hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 33216 33521 66432 67042 100563 134084 201126 268168 402252 536336 804504 1072672 1609008 2145344 3218016 4290688 5799133 6436032 11598266 12872064 17397399 23196532 34794798 46393064 69589596 92786128 139179192 185572256 278358384 371144512 556716768 742289024 1113433536 2226867072